5. a cyclist is traveling along a level, straight road at 10 m/s in the positive direction with a x; = v. in
magnitude of the velocity for the cyclist is tracked using the following motion graph.
velocity-time graph
velocity (m/s)
0 1 2 3 4 5
time (s)
according to the information and graph shown above, what is the magnitude of the acceleration for the first
two seconds?
a. 2 m/s2 ~
c. 12 m/s2
b. 24 m/s2
d. 1 m/s2

The base of a 50-meter tower is at the origin; the base of a 50-meter tree is at (0, 50, 0). the ground is flat and the z-axis points upward. the following parametric equations describe the motion of six projectiles each launched at time t = 0 in seconds. (i) r (t) = (50 + t2)k (ii) r (t) = 2t2 j + 2t2k (iii) r (t) = 50 i + 50 j + (50 − t2)k (iv) r (t) = 2t j + (50 − t2)k (v) r (t) = (50 − 2t) i + 2t j + (50 − t)k (vi) r (t) = t i + t j + tk (a) which projectile is launched from the top of the tower and goes downward? at time t = , the projectile hits the ground at point (x, y, z) = . (b) which projectile hits the top of the tree?